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Finding the Fourth Proportional to 3,892.68, 5,371.74 and 2,321.64

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Solution

The fourth proportional to 3,892.68, 5,371.74 and 2,321.64 is: 3,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.68 : 5,371.74 = 2,321.64 : x
  2. Step 2: Convert to fraction form
    3,892.68/5,371.74 = 2,321.64/x
  3. Step 3: Cross multiply
    3,892.68x = 5,371.74 × 2,321.64
  4. Step 4: Simplify right side
    3,892.68x = 12,471,246.45
  5. Step 5: Solve for x
    x = 12,471,246.45/3,892.68
  6. Step 6: Final answer
    x = 3,203.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.